English

Notes on Growing a Tree in a Graph

Probability 2017-07-05 v2 Discrete Mathematics Combinatorics

Abstract

We study the height of a spanning tree TT of a graph GG obtained by starting with a single vertex of GG and repeatedly selecting, uniformly at random, an edge of GG with exactly one endpoint in TT and adding this edge to TT.

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Cite

@article{arxiv.1707.00083,
  title  = {Notes on Growing a Tree in a Graph},
  author = {Luc Devroye and Vida Dujmović and Alan Frieze and Abbas Mehrabian and Pat Morin and Bruce Reed},
  journal= {arXiv preprint arXiv:1707.00083},
  year   = {2017}
}

Comments

Updated grant acknowledgement

R2 v1 2026-06-22T20:35:01.073Z